Help: Planck Scale and Fine Structure Constant

Could someone explain the relationship between the FSC and the Planck Scale? What are they in relation to each other. I know what the Planck Scale is, and I even have a loose understanding of the FSC, but what of them in contrast and comparison? And how does the FSC affect QM, if at all?

[tex]\alpha = \frac{e^2}{\hbar c\,4\pi\epsilon_0}[/tex]
That's the relationship... both of them are numbers that keep popping up in important physics formulas. They're universal constants. I'm not really sure what else you're after.

[tex]\alpha = \frac{e^2}{\hbar c\,4\pi\epsilon_0}[/tex]
That's the relationship... both of them are numbers that keep popping up in important physics formulas. They're universal constants. I'm not really sure what else you're after.

Why is the reduced Planck constant inversely proportional to the fine structure constant?